3321120020032 has 112 divisors (see below), whose sum is σ = 7172992512000. Its totient is φ = 1519863022080.

The previous prime is 3321120019999. The next prime is 3321120020033. The reversal of 3321120020032 is 2300200211233.

It is a super-2 number, since 2×3321120020032² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 3321120019991 and 3321120020009.

It is not an unprimeable number, because it can be changed into a prime (3321120020033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22506363 + ... + 22653445.

It is an arithmetic number, because the mean of its divisors is an integer number (64044576000).

Almost surely, 2^{3321120020032} is an apocalyptic number.

3321120020032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321120020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586496256000).

3321120020032 is an abundant number, since it is smaller than the sum of its proper divisors (3851872491968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3321120020032 is a wasteful number, since it uses less digits than its factorization.

3321120020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147744 (or 147734 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3321120020032 its reverse (2300200211233), we get a palindrome (5621320231265).

The spelling of 3321120020032 in words is "three trillion, three hundred twenty-one billion, one hundred twenty million, twenty thousand, thirty-two".